Answer:
Solution 1
Step-by-step explanation:
Alternate interior angles are congruent (not supplementary), so the equation used in Solution 1 is the correct one.
Solution 2 incorrectly assumes that the given angles are supplementary. They would be if they were "same-side" interior angles, but they are not.
Answer:
Solution 2 is incorrect
Step-by-step explanation:
Alternate interior angles should equal each other if the lines are parallel
True False
Answer:
Step-by-step explanation:
whoever answers right in the next five minutes get the brainiest thing
∠A = 106.3°, ∠B = 20.6°, ∠C = 53.1°
Step-by-step explanation:
In a ΔABC, the sides opposite to the angle A is a, angle B is b, and angle C is c. a = 60 , b= 22, c = 50
We can find any one angle by cosine rule,
a² = b² + c² - 2 bc cos (A)
60² = 22² + 50² - 2(22)(50) cos A
3600 = 484 + 2500 - 2200 cos A
3600 = 2984 - 2200 cos A
3600 - 2984 = -2200 cos A
616 = -2200 cos A
cos A = 616/ -2200 = -0.28
A = cos⁻¹ (-0.28) = 106.3°
Now we can use sine rule to find angle B as,
sin A/ a = sin B / b
sin 106.3° / 60 = sin B / 22
sin B = 22 × sin 106.3° / 60
B = sin⁻¹ (22 × sin 106.3° / 60 ) = 20.6°
As we know the sum of angles in a triangle is 180°.
∠A + ∠B + ∠C = 180°
106.3° + 20.6° + ∠C = 180°
126.9° + ∠C = 180°
∠C = 180° - 126.9° = 53.1°
2. 2.29
3. 4.225
4. 4.375
Answer:
4.375
Step-by-step explanation:
We put 35 inside and 8 outside
32 can be written as 32.0000
4 . 375
------------------------------------
8 35.0000
32
---------------------------(subtract)
30
24
--------------------(Subtract)
60
56
--------------------(Subtract)
40
40
----------------
0
Answer is 4.375
The given fraction 35/8 can be written in decimal as 4.375. Therefore, the correct answer is option 4.
The given fraction is 35/8.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here,
8)35(4.375
32
________
30
24
________
60
56
________
40
40
_________
0
Therefore, the correct answer is option 4.
To learn more about the division visit:
#SPJ6
Answer:
13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution
Step-by-step explanation:
The pool company recommendation is 20 cups of 73% chlorine to treat their pool
Concentration of chlorine solution in stock = 80% and 60%
Therefore to make 20 cups of 73% solution, we require;
X cups of the 80% chlorine solution and
Y cups of the 60% chlorine solution
That gives 0.8·X + 06·Y = 0.73 × 20
X + Y = 20
Solving gives X = 13 cups
and Y = 7 cups
Therefore to make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.
The second one on the top is also a rotation.